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Finding the Third Proportional to 202,809 and 438,923

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Solution

The third proportional to 202,809 and 438,923 is: 949,925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,809 : 438,923 = 438,923 : x
  2. Step 2: Convert to fraction form
    202,809/438,923 = 438,923/x
  3. Step 3: Cross multiply
    202,809x = 438,923 × 438,923
  4. Step 4: Simplify right side
    202,809x = 192,653,399,929
  5. Step 5: Solve for x
    x = 192,653,399,929/202,809
  6. Step 6: Final answer
    x = 949,925.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.